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2 t ) a
2 t ) a

Chapter 8 and 9 Study Guide
Chapter 8 and 9 Study Guide

... 2. A 30-kg girl and a 50-kg boy face each other on friction-free roller skates. The girl pushes the boy, who moves away at a speed of 3 m/s. What is the girl's speed? 3. A 40-kg football player leaps through the air to collide with and tackle a 50-kg player heading toward him, also in the air. If th ...
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Rolling Motion: • A motion that is a combination of rotational

... the radius or the mass of the disk. • The speed at the bottom is less than when the disk slides down a frictionless ramp: v = 2gh • The angular speed depends on the radius but not the mass. • We can still apply conservation of energy even though there is a friction force. The friction force cannot d ...
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Problems - Bartholomew Andrews

... 5. (Adapted from Michael Coppins’ lecture notes): A horse is required to pull a cart. Unfortunately, not only is the horse rather lazy, but he believes he has some understanding of Classical Physics. He refuses to cooperate, arguing that by Newton’s third law the force he exerts on the cart will be ...
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... However, the hunter doesn't know exactly how fast the tranquilizer bullet will travel after leaving the gun — he just knows it'll move fast. With all of this in mind, where should the hunter aim? Where would you aim? Three choices arise: 1. Aim above the monkey 2. Aim directly at the monkey 3. Aim ...
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... A horizontal projectile has a constant horizontal velocity and an increasing vertical velocity as it falls to the ground. The combined effect of the two velocities results in a curved path (parabola). Neglecting air resistance, an arrow shot horizontally will strike the ground at the same time as o ...
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CFA #2 Study Guide Name: Class: ______ Kinetmatics Review 1. A

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Specific impulse

Specific impulse (usually abbreviated Isp) is a measure of the efficiency of rocket and jet engines. By definition, it is the impulse delivered per unit of propellant consumed, and is dimensionally equivalent to the thrust generated per unit propellant flow rate. If mass (kilogram or slug) is used as the unit of propellant, then specific impulse has units of velocity. If weight (newton or pound) is used instead, then specific impulse has units of time (seconds). The conversion constant between these two versions is the standard gravitational acceleration constant (g0). The higher the specific impulse, the lower the propellant flow rate required for a given thrust, and in the case of a rocket, the less propellant needed for a given delta-v, per the Tsiolkovsky rocket equation.Specific impulse is a useful value to compare engines, much like miles per gallon or liters per 100 kilometers is used for cars. A propulsion method and system with a higher specific impulse is more propellant-efficient. While the unit of seconds can seem confusing to laypeople, it is fairly simple to understand as ""hover-time"": how long a rocket can ""hover"" before running out of fuel, given the weight of that propellant/fuel. Of course, the weight of the rocket has to be taken out of consideration and so does the reduction in fuel weight as it's expended; the basic idea is ""how long can any given amount of x hold itself up"". Obviously that must mean ""...against Earth's gravity"", which means nothing in non-Earth conditions; hence Isp being given in velocity when propellant is measured in mass rather than weight, and the question becomes ""how fast can any given amount of x accelerate itself?""Note that Isp describes efficiency in terms of amount of propellant, and does not include the engine, structure or power source. Higher Isp means less propellant needed to impart a given momentum. Some systems with very high Isp (cf. ion thrusters) may have relatively very heavy/massive power generators, and produce thrust over a long period; thus, while they are ""efficient"" in terms of propellant mass carried, they may actually be quite poor at delivering high thrust as compared to ""less efficient"" engine/propellant designs.Another number that measures the same thing, usually used for air breathing jet engines, is specific fuel consumption. Specific fuel consumption is inversely proportional to specific impulse and the effective exhaust velocity. The actual exhaust velocity is the average speed of the exhaust jet, which includes fuel combustion products, nitrogen, and argon, as it leaves air breathing engine. The effective exhaust velocity is the exhaust velocity that the combusted fuel and atmospheric oxygen only would need to produce the same thrust. The two are identical for an ideal rocket working in vacuum, but are radically different for an air-breathing jet engine that obtains extra thrust by accelerating the non-combustible components of the air. Specific impulse and effective exhaust velocity are proportional.
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